Variations on Kuratowski's 14-set theorem
General Topology
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Kuratowski's 14-set theorem says that in a topological space, 14 is the maximum possible number of distinct sets which can be generated from a fixed set by taking closures and complements. In this article we consider the analogous questions for any possible subcollection of the operations {closure, complement, interior, intersection, union}, and any number of initially given sets. We use the algebraic "topological calculus" to full advantage.
Cite
@article{arxiv.math/0405401,
title = {Variations on Kuratowski's 14-set theorem},
author = {David Sherman},
journal= {arXiv preprint arXiv:math/0405401},
year = {2007}
}
Comments
11 pages